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Finding the Fourth Proportional to 32,238.47, 48,322.83 and 13,528.67

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Solution

The fourth proportional to 32,238.47, 48,322.83 and 13,528.67 is: 20,278.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,238.47 : 48,322.83 = 13,528.67 : x
  2. Step 2: Convert to fraction form
    32,238.47/48,322.83 = 13,528.67/x
  3. Step 3: Cross multiply
    32,238.47x = 48,322.83 × 13,528.67
  4. Step 4: Simplify right side
    32,238.47x = 653,743,620.54
  5. Step 5: Solve for x
    x = 653,743,620.54/32,238.47
  6. Step 6: Final answer
    x = 20,278.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.